Abstract
Controlled elitism in NSGAII is analysed, applied to a multiobjective frame optimisation problem with discrete modelling. Influence of various mutation rates is considered. A double minimization is handled: constrained weight and number of different cross section types. The comparative statistical results of the test case show a convergence study during evolution by means of certain metrics that measure front coverage and distance to the optimal front.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
C. Coello Coello, “A Short Tutorial on Evolutionary Multiobjective Optimization”, pp. 21–40, in Evolutionary Multi-Criterion Optimization, Springer, 2001.
K. Deb, T. Goel, “Controlled Elitist Non-dominated Sorting Genetic Algorithms for Better Convergence”, pp. 67–81, in Evolutionary Multi-Criterion Optimization, Springer, 2001.
K. Deb, A. Pratap, S. Agrawal, T. Meyarivan, “A fast and elitist multiobjective genetic algorithm NSGAII”, IEEE Transactions on Evolutionary Computat. 6(2), 182–197, 2002.
D. Greiner, G. Winter, J.M. Emperador, “Optimising Frame Structures by different strategies of GA”, Finite Elem. in Anays. and Design, Elsevier, 37(5) pp.381–402, (2001).
P. Hajela, C. Lin. ‘Genetic search strategies in multi-criterion optimal design’, Structural Optimization, 4 pp 99–107 (1992).
S. Hernández Ibáñez. ‘Métodos de diseño óptimo de estructuras’. Colección Seinor. Colegio de Ingenieros de Caminos, Canales y Puertos (Madrid). (1990).
R. Purshouse, P. Fleming, “Why use Elitism and Sharing in a Multiobjective Genetic Algorithm?”, GECCO-2002, pp. 520–527, New York, Morgan Kaufmann Publishers.
S. Rajeev, C.S. Krishnamoorthy. ‘Discrete Optimization of Structures using Genetic Algorithms’. Journal of Structural Engineering, vol 118, nº 5, 1233–1250 (1992).
E. Zitzler, Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications, PhD Thesis, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Kluwer Academic Publishers
About this paper
Cite this paper
Greiner, D., Winter, G., Emperador, J.M., Galván, B. (2004). A Comparative Analysis of “Controlled Elitism” in the NSGA-II Applied to Frame Optimization. In: Burczyński, T., Osyczka, A. (eds) IUTAM Symposium on Evolutionary Methods in Mechanics. Solid Mechanics and Its Applications, vol 117. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2267-0_10
Download citation
DOI: https://doi.org/10.1007/1-4020-2267-0_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2266-1
Online ISBN: 978-1-4020-2267-8
eBook Packages: Springer Book Archive